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3 years ago

8. What are the advantages of switching a quadratic function from standard form into vertex form?

Mathematics

1 answer:

Airida [17]3 years ago

3 0

Answer:

vertex form automatically gives you your vertex and your y intercept so all you need to do is graph. Hope this helps

Step-by-step explanation:

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Write the equation of the line with a slope of 3/7 passing through the point (9,-2) in standard or slope-point form? ...?

Musya8 [376]

$y-y_1=m(x-x_1)
\\
\\ m= \frac{3}{7} 
\\
\\(9,-2) \Rightarrow x_1=9,y_1=-2
\\
\\ y-(-2)=\frac{3}{7} (x-9)
\\
\\y+2=\frac{3}{7}x-\frac{27}{7}
\\
\\y=\frac{3}{7}x-\frac{27}{7}-2
\\
\\y=\frac{3}{7}x-\frac{41}{7}$

7 0

3 years ago

a model plane has a scale of 1 in: 2 ft. if the real plane is 12 ft tall then how tall is the model plane.

adelina 88 [10]

Answer:

6ft tall

Step-by-step explanation:

Given we know that the scale is 1 in 2ft.

Using this information we know we could divide 12/2=6. We also know that we could multiply 2×6=12. Therefore, we know that the model plane is 6ft tall.

I hope this helps!

3 0

3 years ago

Read 2 more answers

A scale drawing of a car is presented in the following three scales. Order the scale drawings from smallest to largest. Explain

Elanso [62]

The order of the scale drawings from smallest to largest is

Smallest

1 in to 1 ft

Second smallest

1 in to 1 yd

Largest

1 in to 1 m

Given the following scales:

1 in to 1 ft

1 in to 1 m

1 in to 1 yd

We are to arrange the scales from smallest to largest.

Since 1 in is used as the base conversion for all the scales, we can convert the other scales to yards for consistency's sake.

Convert 1m to yards

1m = 1.1yards (From the question)

Convert 1ft to yards. According to conversion factor;

1 feet = 0.333333 yards

Ordering the scales from smallest to largest will give

0.33333yard (1 in to 1 ft), 1 yard (1 in to 1 yd), 1.1yards (1 in to 1 m)

Learn more here: brainly.com/question/14348682

5 0

3 years ago

PLEASE HELP<br>L has y-intercept (0,5) and is perpendicular to the line with equation y=1/3x+1

marin [14]

Answer:

y=-3x+5

Explanation:

Given a line L such that:

• L has y-intercept (0,5); and

• L is perpendicular to the line with equation y=(1/3)x+1.

We want to find the equation of the line in the slope-intercept form.

The slope-intercept form of the equation of a straight line is given as:

$\begin{equation} y=mx+b\text{ where }\begin{cases}m={slope} \\ b={y-intercept}\end{cases} \end{equation}$

Comparing the given line with the form above:

$y=\frac{1}{3}x+1\implies Slope,m=\frac{1}{3}$

Next, we find the slope of the perpendicular line L.

• Two lines are perpendicular if the product of their slopes is -1.

Let the slope of L = m1.

Since L and y=(1/3)x+1 are perpendicular, therefore:

$\begin{gathered} m_1\times\frac{1}{3}=-1 \\ \implies Slope\text{ of line L}=-3 \end{gathered}$

The y-intercept of L is at (0,5), therefore:

$y-intercept,b=5$

Substitute the slope, m=-3, and y-intercept, b=5 into the slope-intercept form.

$\begin{gathered} y=mx+b \\ y=-3x+5 \end{gathered}$

The equation of line L is:

$y=-3x+5$

7 0

1 year ago

PLZ HELP I CANT GET MY PHONE UNTIL I PASS THIS TEST HELP!!!!!!!

sladkih [1.3K]

Answer:

Step-by-step explanation:

4 : 3

x : 21

ok so we can divide 21 by 3 and get 7.

7 × 4 = 28

4 : 3 = 28 : 21

now we just 28 + 21 = 49 :D

5 0

3 years ago